8x-2(x-4)=-12x+38

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Solution for 8x-2(x-4)=-12x+38 equation: 


Simplifying
8x + -2(x + -4) = -12x + 38

Reorder the terms:
8x + -2(-4 + x) = -12x + 38
8x + (-4 * -2 + x * -2) = -12x + 38
8x + (8 + -2x) = -12x + 38

Reorder the terms:
8 + 8x + -2x = -12x + 38

Combine like terms: 8x + -2x = 6x
8 + 6x = -12x + 38

Reorder the terms:
8 + 6x = 38 + -12x

Solving
8 + 6x = 38 + -12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12x' to each side of the equation.
8 + 6x + 12x = 38 + -12x + 12x

Combine like terms: 6x + 12x = 18x
8 + 18x = 38 + -12x + 12x

Combine like terms: -12x + 12x = 0
8 + 18x = 38 + 0
8 + 18x = 38

Add '-8' to each side of the equation.
8 + -8 + 18x = 38 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = 38 + -8
18x = 38 + -8

Combine like terms: 38 + -8 = 30
18x = 30

Divide each side by '18'.
x = 1.666666667

Simplifying
x = 1.666666667

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